Question: MCR3UZ Sequences and Series Assignment 130 1. Find an appropriate equation for the nth term (t,) that represents each description. a. t, = 3, d=

MCR3UZ Sequences and Series Assignment 130 1. Find an appropriate equation for the nth term (t,) that represents each description. a. t, = 3, d= -4 (2 marks) b. t, = -4, r= -2 (2 marks) 2. For each of the following sequences find the first term and the common difference or the common ratio. Show all of your work. a. 54 (geometric) (5 marks) b. -10 14 (arithmetic) (5 marks) 3. The fifth term of an arithmetic sequence is 20 and the twelfth term is 41. a. Find the common difference and the first term of the sequence. (4 marks) b. Calculate the eighty-fourth term. (3 marks) c. Calculate the sum of the first 200 terms. (3 marks) 4. The sum of the first eight terms of an arithmetic series is 176. The sum of the first nine terms is 216. Determine the first and ninth terms of the series. (6 marks)

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